On The Characteristic Matrices of Covariant Systems

Duffin, R. J.

doi:10.1103/physrev.54.1114

Cited by 479 publications

(290 citation statements)

References 2 publications

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“…with 5 × 5 and 10 × 10 matrices β µ , respectively, which fulfill the following commutation relations [26][27][28][29]:…”

Section: The Duffin-kemmer-petiau Equationsmentioning

confidence: 99%

Duffin–Kemmer–Petiau and Dirac Equations—A Supersymmetric Connection

Okniński¹

2012

Symmetry

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Abstract:In the present paper we study subsolutions of the Dirac and Duffin-Kemmer-Petiau equations in the interacting case. It is shown that the Dirac equation in longitudinal external fields can be split into two covariant subequations (Dirac equations with built-in projection operators). Moreover, it is demonstrated that the Duffin-Kemmer-Petiau equations in crossed fields can be split into two 3 × 3 subequations. We show that all the subequations can be obtained via minimal coupling from the same 3 × 3 subequations which are thus a supersymmetric link between fermionic and bosonic degrees of freedom.

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“…with 5 × 5 and 10 × 10 matrices β µ , respectively, which fulfill the following commutation relations [26][27][28][29]:…”

Section: The Duffin-kemmer-petiau Equationsmentioning

confidence: 99%

Duffin–Kemmer–Petiau and Dirac Equations—A Supersymmetric Connection

Okniński¹

2012

Symmetry

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“…Pour chaque x' € ^, S 1/2) a son support dans ê 4 -(x') u ê~ (x). Il vérifie les relations Proposons-nous de construire pour ce champ un anticommutateur [ip (x), ^ (^')]+ qui soit un bi-i-spineur-distribution X (x, x') à valeurs scalaires qui pour chaque x' a son support dans ê^ (x') u ê-(x'), vérifie -Si % ^ ^ sonf ^Z5 que l'intersection S (%)n5 1 (;) des supports de ces deux spineurs est compacte, on a par intégration sur V^, la relation …”

Section: Nous Dirons Que Les S 172^ Sont Les Noyaux éLémentaires Des unclassified

Champs spinoriels et propagateurs en relativité générale

Lichnerowicz¹

1964

Bul. Soc. Math. France

109

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“…The algebra (2) has three different representations: a (onedimensional) trivial representation, a five-dimensional representation describing spin-0 bosons, and a ten-dimensional representation describing spin-1 bosons. As a Dirac-type relativistic quantum mechanical model, DKP equation with various potentials has been studied in the past years [4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Quantum Speed Limit for Relativistic Spin-0 and Spin-1 Bosons on Commutative and Noncommutative Planes

Wang¹,

Zhang²,

Wang³

et al. 2017

Advances in High Energy Physics

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Quantum speed limits of relativistic charged spin-0 and spin-1 bosons in the background of a homogeneous magnetic field are studied on both commutative and noncommutative planes. We show that, on the commutative plane, the average speeds of wave packets along the radial direction during the interval in which a quantum state is evolving from an initial state to the orthogonal final one can not exceed the speed of light, regardless of the intensities of the magnetic field. However, due to the noncommutativity, the average speeds of the wave packets on noncommutative plane will exceed the speed of light in vacuum provided the intensity of the magnetic field is strong enough. It is a clear signature of violating Lorentz invariance in the relativistic quantum mechanics region.

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On The Characteristic Matrices of Covariant Systems

Cited by 479 publications

References 2 publications

Duffin–Kemmer–Petiau and Dirac Equations—A Supersymmetric Connection

Duffin–Kemmer–Petiau and Dirac Equations—A Supersymmetric Connection

Champs spinoriels et propagateurs en relativité générale

Quantum Speed Limit for Relativistic Spin-0 and Spin-1 Bosons on Commutative and Noncommutative Planes

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